The invention concerns aqueous pigment slurries containing, dispersed in them, up to 80 % by wt. of a finely particulate pigment and 0,1 to 5 % by wt. of dispersants. Such slurries are obtained by reacting (a) polyalkylene polyamines, polyamidoamines, ethylenimine-grafted polyamidoamines, polyether amines or mixtures of these compounds with (b) momoethylenically unsaturated carboxylic acids, salts, esters, amides or nitriles of monoethylenically unsaturated carboxylic acids, chlorocarboxylic acids and/or glycidyl compounds and optionally with (c) at least bifunctional cross-linking agents containing as the functional group a halohydrin, glycidyl, aziridin or isocyanate unit or a halogen atom to give water-soluble condensation products which have a viscosity, measured at 20 DEG C in 20 % by wt. aqueous solution, of at least 100 mPas. The invention also concerns a method of producing such aqueous pigment slurries by grinding or otherwise dispersing the pigments in the presence of the dispersants and water, and the use of the aqueous pigment slurries as additives to paper pulp in the manufacture of paper containing fillers.